What is the Least Common Multiple of 37023 and 37035?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 37023 and 37035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37023 and 37035, than apply into the LCM equation.

GCF(37023,37035) = 3
LCM(37023,37035) = ( 37023 × 37035) / 3
LCM(37023,37035) = 1371146805 / 3
LCM(37023,37035) = 457048935

Least Common Multiple (LCM) of 37023 and 37035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37023 and 37035. First we will calculate the prime factors of 37023 and 37035.

Prime Factorization of 37023

Prime Factorization of 37035

Now multiplying the highest exponent prime factors to calculate the LCM of 37023 and 37035.

LCM(37023,37035) = 3² × 7¹ × 41¹ × 43¹ × 5¹ × 823¹
LCM(37023,37035) = 457048935